It seems you've uploaded an image. Let me extract the mathematical content from it and help you solve it. PIL import Image

Load and display the uploaded image to inspect it

img_path = "/mnt/data/1733679242001irzfmwwa.jpg" img = Image.open(img_path)

Display the image

img.show()I can't display the image directly in this environment, but I'll proceed to extract its contents. Let me analyze it and see what information or math problem it contains. pytesseract

Use pytesseract to extract text from the image

text = pytesseract.image_to_string(img)

textThe image contains the following problem:

The expression for the $n$-th term of a sequence is $4n + 7$. What are the first three terms in the sequence? Give your answers in order.

To find the first three terms, we simply substitute values of $n = 1, 2, 3$ into the expression:

1. For $n = 1$: $4(1) + 7 = 4 + 7 = 11$
2. For $n = 2$: $4(2) + 7 = 8 + 7 = 15$
3. For $n = 3$: $4(3) + 7 = 12 + 7 = 19$

So, the first three terms of the sequence are: 11, 15, and 19.

Would you like further details or have any questions on this?

Here are some related questions you may find interesting:

1. How would the sequence change if the expression was $5n + 3$?
2. What is the general formula for finding the $n$-th term of an arithmetic sequence?
3. How would you calculate the sum of the first $n$ terms of an arithmetic sequence?
4. How does the common difference of an arithmetic sequence relate to the expression for its $n$-th term?
5. How can you determine if a sequence is arithmetic or geometric?

Tip: When identifying terms in a sequence, always substitute the values of $n$ carefully into the given formula.